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# how many odd integers are greater than the integer x and

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Director
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how many odd integers are greater than the integer x and [#permalink]  22 Feb 2009, 11:21
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Question Stats:

34% (02:48) correct 66% (01:08) wrong based on 54 sessions
how many odd integers are greater than the integer x and lessthan the integer y?

1) there are 12 even integers greater than x and less than y.

2) there are 24 integers greater than x and less than y.

(This is DS question )
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Re: DS -- Odd integers [#permalink]  22 Feb 2009, 18:04
look this is B..

cause if there are 24 integers btw x and y..then we know 12 are even and 12 odd..

1) is insuff cause it doesnt tell us whats in between..it just tells us there are 12 even integers...well if x is even then you will have one possibility if x=odd then you have another possibility..
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Re: DS -- Odd integers [#permalink]  22 Feb 2009, 19:34
stmt 1:

There are 12 even integers b/w x and Y.

For example i took 2 even integers b/w x and Y.

1,2,3,4,5,6 - 2 odd and 2 even
1,2,3,4,5 - still 2 even but 1 odd.
insufficient.
stmt 2:
there 24 integers >x and < y.
clearly there are 12 odd and 12 even in between them.
Hence B.
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Re: DS -- Odd integers [#permalink]  22 Feb 2009, 19:41
From stmt1, there are 12 even numbers between x and y. ==> number of odd numbers can be either 11 / 12 /13 since it depends on the combination of x and y being even / odd. Hence insufficient.

From stmt2 - there are 24 integers between x and y. From this we know that exactly half of them are odd and half are even. Hence we know that the number of odd numbers are 12. Hence sufficent.

IMO B
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Re: DS -- Odd integers [#permalink]  23 Feb 2009, 10:00
1
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The OA is B but why are we concluding that there equal number of odd and even integers in 24 integers? in question, there is no hint about this.

in 24 integers, there can be 20 even numbers and 4 can be odd integers, right?

this is gmatprep test #1 questio though.
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Re: DS -- Odd integers [#permalink]  23 Feb 2009, 11:58
ugimba wrote:
The OA is B but why are we concluding that there equal number of odd and even integers in 24 integers? in question, there is no hint about this.

in 24 integers, there can be 20 even numbers and 4 can be odd integers, right?

this is gmatprep test #1 questio though.

I think this is a good queston. I have treated them as the consecutive integers between x and y. If the integers between the x and y are not consecutive, then the question stem should say that a SET of integers where do not know what the integers are.

Probably lets see if any others respond to this question.
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Re: DS -- Odd integers [#permalink]  23 Feb 2009, 18:35
mrsmarthi wrote:
ugimba wrote:
The OA is B but why are we concluding that there equal number of odd and even integers in 24 integers? in question, there is no hint about this.

in 24 integers, there can be 20 even numbers and 4 can be odd integers, right?

this is gmatprep test #1 questio though.

I think this is a good queston. I have treated them as the consecutive integers between x and y. If the integers between the x and y are not consecutive, then the question stem should say that a SET of integers where do not know what the integers are.

Probably lets see if any others respond to this question.

I got E. I did not really understand why everyone treated these integers as consecutive integers. Nowhere in the question stem it is mentioned that they are consecutive integers.
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Re: DS -- Odd integers [#permalink]  23 Feb 2009, 19:30
ugimba wrote:
The OA is B but why are we concluding that there equal number of odd and even integers in 24 integers? in question, there is no hint about this.

in 24 integers, there can be 20 even numbers and 4 can be odd integers, right?

this is gmatprep test #1 questio though.

wow, great catch.. reinforces how we can make assumptions too easily. Interesting to see that gmatprep writers made the same assumption.
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Re: DS -- Odd integers [#permalink]  23 Feb 2009, 19:31
kukulkan wrote:
mrsmarthi wrote:
ugimba wrote:
The OA is B but why are we concluding that there equal number of odd and even integers in 24 integers? in question, there is no hint about this.

in 24 integers, there can be 20 even numbers and 4 can be odd integers, right?

this is gmatprep test #1 questio though.

I think this is a good queston. I have treated them as the consecutive integers between x and y. If the integers between the x and y are not consecutive, then the question stem should say that a SET of integers where do not know what the integers are.

Probably lets see if any others respond to this question.

I got E. I did not really understand why everyone treated these integers as consecutive integers. Nowhere in the question stem it is mentioned that they are consecutive integers.

would have been more convincing if you had caught it first
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Re: DS -- Odd integers [#permalink]  24 Feb 2009, 06:49
ugimba wrote:
The OA is B but why are we concluding that there equal number of odd and even integers in 24 integers? in question, there is no hint about this.

in 24 integers, there can be 20 even numbers and 4 can be odd integers, right?

this is gmatprep test #1 questio though.

I don't know what everyone is going on about: If there are exactly 24 integers between the two numbers they MUST be consecutive, as otherwise there would be more than 24 integers obviously.

It's B.
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Re: DS -- Odd integers [#permalink]  13 Apr 2009, 06:56
There is no ambiguity here and answer is B.
It would be E if the number of integers between x and y were odd.
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Re: DS -- Odd integers [#permalink]  13 Apr 2009, 17:25
Yeah agree should be B.

If we start we A then it could be even and then 12 even or odd + 12 even... not suff

Hence B
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Re: DS -- Odd integers [#permalink]  22 Oct 2009, 23:10
(1) is insufficient – the number of odd integers could be 11, 12, or 13

(2) is sufficient – because the number of odd and the number of even can not differ more than 1. Thus, the only solution is 12.
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Re: DS -- Odd integers [#permalink]  12 Nov 2009, 18:55
ugimba wrote:
how many odd integers are greater than the integer x and lessthan the integer y?

1) there are 12 even integers greater than x and less than y.

2) there are 24 integers greater than x and less than y.

(This is DS question )

1) You can have 11 or 12 odd numbers in between x and y depends on whether x, y are even or odd

2) it has to be 12 - sufficient

B.
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Re: DS -- Odd integers [#permalink]  13 Nov 2009, 23:20
Agreed. If there is exactly n number between the range x and y, then the numbers will be consecutive.
IMO B.
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Re: DS -- Odd integers [#permalink]  01 Dec 2009, 18:54
You dont need to list out 24 numbers to see the pattern
4 even, 4 odd- 8 total numbers between them
4 even, 4 odd

B is sufficient
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Re: DS -- Odd integers   [#permalink] 01 Dec 2009, 18:54
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